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Finding the Third Proportional to 471,434 and 713,999

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Solution

The third proportional to 471,434 and 713,999 is: 1,081,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,434 : 713,999 = 713,999 : x
  2. Step 2: Convert to fraction form
    471,434/713,999 = 713,999/x
  3. Step 3: Cross multiply
    471,434x = 713,999 × 713,999
  4. Step 4: Simplify right side
    471,434x = 509,794,572,001
  5. Step 5: Solve for x
    x = 509,794,572,001/471,434
  6. Step 6: Final answer
    x = 1,081,369.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.